Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.2 - Prime and Composite Numbers - Concept Quiz 1.2 - Page 12: 7

Answer

False

Work Step by Step

The prime factored form of 24 is: $24=2\times2\times2\times3$ The prime factored form of 54 is: $54=2\times3\times3\times3$ The prime factored form of 72 is: $72=2\times2\times2\times3\times3$ Since one 2 and one 3 is common to all three numbers, the greatest common factor of 24, 54 and 72 is $2\times3=6$. Therefore, the question statement is false.
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